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Finding the Third Proportional to 648,419 and 1,396,711

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Solution

The third proportional to 648,419 and 1,396,711 is: 3,008,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,419 : 1,396,711 = 1,396,711 : x
  2. Step 2: Convert to fraction form
    648,419/1,396,711 = 1,396,711/x
  3. Step 3: Cross multiply
    648,419x = 1,396,711 × 1,396,711
  4. Step 4: Simplify right side
    648,419x = 1,950,801,617,521
  5. Step 5: Solve for x
    x = 1,950,801,617,521/648,419
  6. Step 6: Final answer
    x = 3,008,550.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.